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Finding the Fourth Proportional to 5,712.56, 8,552.31 and 3,514.61

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Solution

The fourth proportional to 5,712.56, 8,552.31 and 3,514.61 is: 5,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.56 : 8,552.31 = 3,514.61 : x
  2. Step 2: Convert to fraction form
    5,712.56/8,552.31 = 3,514.61/x
  3. Step 3: Cross multiply
    5,712.56x = 8,552.31 × 3,514.61
  4. Step 4: Simplify right side
    5,712.56x = 30,058,034.25
  5. Step 5: Solve for x
    x = 30,058,034.25/5,712.56
  6. Step 6: Final answer
    x = 5,261.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.